here are 5 married couples at a party. The 5 men are blindfolded so that at the beginning of a certain song they have to pick one of the 5 women randomly to dance with her. What is the probability that at least one man selects his own wife?

here are 5 married couples at a party. The 5 men are blindfolded so that at the beginning of a certain song they have to pick one of the 5 women randomly to dance with her. What is the probability that at least one man selects his own wife?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: Evaluate 52C5

A: The given expression can be evaluated by using the combination formula:

Q: 10 animals are randomly put into a line. There are 3 cats and 4 dogs. What is the probability all…

A: Solution

Q: A club of 17 people consists of 9 men and 8 women. A team of 10 is randomly selected from the club.…

A: There are 9 men and 8 women in the club. We need to build a team of 10 randomly selected from the…

Q: A club must choose 5 people to represent them at the National convention. The people will be chosen…

A: Given information- We have given a club that has to choose 5 members out of 32 club members. We use…

Q: From a group of 11 people, you randomly select 2 of them.What is the probability that they are the 2…

A: Combination: A combination is a selection of objects without considering the order.Let n be the…

Q: you have 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green, 5 red, 6 orange jelly beans (a) if you…

A: There are 20 jelly beans in a jar: 2 yellow, 3 blue, 4 green , 5 red and 6 orange jelly beans. First…

Q: Dario puts 44 marbles in a box in which 14 are red, 12 are blue, and 18 are yellow. If Dario picks…

Q: From 50 students in a class, it is known that 25 students like math, 20 students like English, and…

A: from 50 students in a class, 25 students like math20 students like English15 students like both(…

Q: Eight people in the class are left-handed . If there are 32 students in the class, what is the…

Q: Jason, Lewis, and Nora will be placed in a line along with 7 other people. What is the probability…

A: Total number of persons = 10 First we have to determine the total number of ways in which 10 persons…

Q: There are 15 boys and 10 girls in a class. If three students are selected at random, what is the…

A: There are 15 boys and 10 girls in a class.

Q: There are 22 students, from which 6 people will be picked to be on a panel. If Abe and James are 2…

A: We have to find given probability

Q: Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach in the jar and pull out 2…

A: Given problem Given that Suppose a jar contains 13 red marbles and 35 blue marbles. If you reach…

Q: Among contestants in a competition are 49 woman and 29 men. If 5 winners are selected, what is the…

A: Obtain the probability that they are all woman. The probability that they are all woman is obtained…

Q: Given a group of 9 men and 11 women, find the probability of selecting a committee of 4 that has…

Q: In a class of 10, there are 5 students who play soccer. If the teacher chooses 2 students, what is…

A: Given that, 5 students play soccer 5 students not paly soccer Total students =10 students

Q: Suppose you are going to form a committee of students and faculty. You have 12 total students and 24…

Q: ag with 10 marbles has 2 red marbles, 4 yellow marbles, and 4 blue marbles. A marble is chosen from…

A: given data, 2- red 4-yellow4-blue10- total marbles

Q: 7 total students and 20 total faculty to pick from. You want to have 10 total people on the…

A: Given data: Total number of students = 7 Total number of faculty = 20 Number of people to be…

Q: Nasa needs to select a 7 person crew for a space mission from 43 applicants of whom are 21 women.…

A: Given data: the total numbers of applicants are n=43. The numbers of persons selected for space…

Q: There are 20 students in a class. Arshia, Manu, and Eva from the class, are great friends. If the…

Q: Suppose a class has 30 students, 13 male and 17 female. What is the probability that if a teacher…

A: It is given that the class consists of 30 students of which 13 are male and 17 are female. Teacher…

Q: a small private school, 4 students are selected from 16 available students. What is the probability…

A: Given data, Total Number of students n=16 Number of students selected is r=4 What is the probability…

Q: Suppose you are going to form a committee of students and faculty. You have 6 total students and 16…

Q: A box has 18 blue hats and 30 red hats. If you pick 2 hats without replacement, what is the…

Q: A history class is comprised of 9 female and 5 male students.if the instructor of the class randomly…

A: There are 14 students in the class (= 9 female + 5 male).

Q: A group of families that have 3 kids are in a group. What family that has three girls, given the…

A: Topic = Probability

Q: A box has 20 green hats and 15 blue hats. If you pick 3 hats without replacement, what is the…

A: Given,no.of green hats=20no.of blue hats=15total no.of hats=35

Q: There are 65 adults and 15 children in a movie theater. Of these people, 41 adults and 6 children…

A: Given: Number of adults=65Number of children=15Total person who bought popcorn=47n=80 The…

Q: Suppose you are going to form a committee of students and faculty. You have 9 total students and 18…

A: Answer - Given, You have 9 student and 18 faculty You are going to form a committee…

Q: an after-school club consists of 10 juniors and 7 seniors. If 4 students are chosen at random to…

A: Given that there are 10 juniors and 7 seniors. Total number of students is 10+7=17. And 4 students…

Q: A committee of 2 people is to be chosen from 6 women and 4 men. What is the probability at least one…

Question

There are 5 married couples at a party. The 5 men are blindfolded so that at the beginning of a certain song they have to pick one of the 5 women randomly to dance with her. What is the probability that at least one man selects his own wife?

Video Video

Expert Solution

Step 1: Overview

Given that there are 5 couples at the party.

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Similar questions

Jean puts 12 books on a shelf in random order. Three are by the same author. What is the probability that those 3 books will be next to each other?
A bag contains different colored candies. There are 50 candies in the bag, 28 are red, 10 are blue, 8 are green and 4 are yellow. What is the probability of choosing one candy and getting a blue?
The manager of the co-ed baseball team randomly selects a 9-person batting order from a group of 15 people. Of these 15 people, 7 are women and 8 are men. Find the probability that at least one woman is included in the batting order.
In a box there are 3 red, 4 blue, and 5 white marbles. If 3 marbles are selected at random and the colors are noted, find the probability that all are white given that all are the same color.
An undergraduate research committee consisting of 4 people is to be formed form 12 doctoral students and 4 supervisors. Find the probability that the committee will consist of exactly 2 doctoral students.
A spinner has 3 possible outcomes: red, blue, and green. The probability the spinner lands on red is 0.20. If the spinner is spun 5 times, what is the probability it lands on red exactly three times?
A teacher will pick 1 student at random from 20 for the lead in a play. What is the probability of a student, Jo, of winning?
If a fiancial services committee had 60 members, of which 10 were women, if 8 members are selected at random, find the probability that the group of 8 would be composed of 7 men and 1 woman.